If cos B = 5/7, what is the value of cosec B + cot B? Given that 0 < B < π/2
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Correct answer: D
Explanation
The correct answer is option 4 i.e. √6
Cos B = 5/7
Using Pythagoras' theorem -
cos θ = base/hypotenuse = 5/7
b2 + p2 = h2
52 + p2 = 72
p2 = 24
p = 2√6
Cosec B + Cot B = (7/2√6) + (5/2√6) = 12/2√6 = √6